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 package Math::Function::Interpolator::Quadratic;  | 
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 use 5.006;  | 
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 use strict;  | 
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 use warnings;  | 
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 our $VERSION = '1.03';    ## VERSION  | 
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 our @ISA = qw(Math::Function::Interpolator);  | 
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 use Carp qw(confess);  | 
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 use Math::Cephes::Matrix qw(mat);  | 
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 use Scalar::Util qw(looks_like_number);  | 
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 =head1 NAME  | 
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 Math::Function::Interpolator::Quadratic  | 
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 =head1 SYNOPSIS  | 
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     use Math::Function::Interpolator::Quadratic;  | 
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     my $interpolator = Math::Function::Interpolator::Quadratic->new(  | 
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         points => {1=>2,2=>3,3=>4,4=>5,5=>6}  | 
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     );  | 
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     $interpolator->quadratic(2.5);  | 
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 =head1 DESCRIPTION  | 
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 Math::Function::Interpolator::Quadratic helps you to do the interpolation calculation with quadratic method.  | 
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 It solves the interpolated_y given point_x and a minimum of 3 data points.  | 
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 =head1 FIELDS  | 
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 =head2 points (REQUIRED)  | 
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 HashRef of points for interpolations  | 
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 =head1 METHODS  | 
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 =head2 quadratic  | 
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 =cut  | 
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 # Returns the interpolated_y value given point_x with 3 data points  | 
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 sub quadratic {  | 
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     my ($self, $x) = @_;  | 
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     confess "sought_point[$x] must be a number" unless looks_like_number($x);  | 
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     my $ap = $self->points;  | 
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     return $ap->{$x} if defined $ap->{$x};    # no need to interpolate  | 
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     my @Xs = keys %$ap;  | 
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     confess "cannot interpolate with fewer than 3 data points"  | 
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         if scalar @Xs < 3;  | 
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     my @points = $self->closest_three_points($x, \@Xs);  | 
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     # Three cofficient  | 
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     my $abc = mat([map { [$_**2, $_, 1] } @points]);  | 
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     my $y = [map { $ap->{$_} } @points];  | 
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     my $solution;  | 
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     eval { $solution = $abc->simq($y); 1 }  | 
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         or confess 'Insoluble matrix: ' . $_;  | 
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     my ($A, $B, $C) = @$solution;  | 
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     return ($A * ($x**2) + $B * $x + $C);  | 
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 }  | 
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 =head1 AUTHOR  | 
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 Binary.com, C<<  >>  | 
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 =head1 BUGS  | 
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 Please report any bugs or feature requests to C, or through  | 
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 the web interface at L.  I will be notified, and then you'll  | 
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 automatically be notified of progress on your bug as I make changes.  | 
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 =head1 SUPPORT  | 
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 You can find documentation for this module with the perldoc command.  | 
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     perldoc Math::Function::Interpolator  | 
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 You can also look for information at:  | 
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 =over 4  | 
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 =item * RT: CPAN's request tracker (report bugs here)  | 
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 =item * AnnoCPAN: Annotated CPAN documentation  | 
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 =item * CPAN Ratings  | 
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 =item * Search CPAN  | 
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 =back  | 
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 =head1 ACKNOWLEDGEMENTS  | 
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 =cut  | 
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 1;    # End of Math::Function::Interpolator::Quadratic  |